Question

Which is the correct equation of the line for the following graph?

Answer 1

The equation of the line is y = -3x + 6

EXPLANATION :

Recall the two-point formula :

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

We need two points that lie on the line.

The points are (0, 6) and (2, 0)

Using the formula above :

`\begin{gathered} y-6=(0-6)/(2-0)(x-0) \\ \\ y-6=-3x \\ y=-3x+6 \end{gathered}`